Combining Philosophers

All the ideas for Archimedes, Matthew Cobb and Michael Novak

unexpand these ideas     |    start again     |     specify just one area for these philosophers


4 ideas

6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
Archimedes defined a straight line as the shortest distance between two points [Archimedes, by Leibniz]
     Full Idea: Archimedes gave a sort of definition of 'straight line' when he said it is the shortest line between two points.
     From: report of Archimedes (fragments/reports [c.240 BCE]) by Gottfried Leibniz - New Essays on Human Understanding 4.13
     A reaction: Commentators observe that this reduces the purity of the original Euclidean axioms, because it involves distance and measurement, which are absent from the purest geometry.
15. Nature of Minds / A. Nature of Mind / 8. Brain
There is a single mouse neuron which has 862 inputs and 626 outputs [Cobb]
     Full Idea: Researchers have recently described a single inhibitory neuron in a region called the visual thalamus of the mouse - it has 862 input synapses and 626 output synapses.
     From: Matthew Cobb (The Idea of the Brain [2020], 11)
     A reaction: This is the kind of fact which philosophers of mind must be aware of when offering accounts of thought which are in danger of being simplistic.
The brain is not passive, and merely processing inputs; it is active, and intervenes in the world [Cobb]
     Full Idea: A number of scientists are now realising that, by viewing the brain as a computer that passively responds ot inputs and processes data, we forget that it is an active organ, part of the body intervening in the world.
     From: Matthew Cobb (The Idea of the Brain [2020], Intro)
     A reaction: I like any idea which reminds us that nature is intrinsically active, and not merely passive. Laws are in nature, not imposed on it. My preferred ontology, based on powers as fundamental, applies to the brain, as well as to physics. No free will needed.
24. Political Theory / D. Ideologies / 11. Capitalism
Economic capitalist liberty naturally leads to democratic political liberty [Novak]
     Full Idea: The natural logic of capitalism leads to democracy. For economic liberties without political liberties are inherently unstable.
     From: Michael Novak (The Spirit of Democratic Capitalism [1982], p.15), quoted by David Conway - Capitalism and Community II
     A reaction: Not sure about 'inherently unstable'. Only in the sense that if you dish out economic liberties, people come to expect political liberties. China and Hong Kong are each currently facing this problem. Capitalist liberty can be highly restricted.